J. Korean Math. Soc. 2005; 42(6): 1279-1285
Printed November 1, 2005
Copyright © The Korean Mathematical Society.
Edoardo Ballico and Claudio Fontanari
Here we generalize previous work by Eisenbud-Harris and Farkas in order to prove that certain Brill-Noether divisors on the moduli space of curves have distinct supports. From this fact we deduce non-trivial regularity results for a higher codimensional Brill-Noether locus and for the general $\frac{g+1}{2}$-gonal curve of odd genus $g$.
Keywords: Brill-Noether divisor, moduli space of curves
MSC numbers: 14H10, 14H51
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